Question

The compound interest on a certain sum of money at 5% p.a for two years is ₹246. Calculate the simple interest on the same sum for three years at 6% p.a.

Answer 1

Answer:

All of the energy from the Sun that reaches the Earth arrives as solar radiation, part of a large collection of energy called the electromagnetic radiation spectrum. Solar radiation includes visible light, ultraviolet light, infrared, radio waves, X-rays, and gamma rays. Radiation is one way to transfer heatAll of the energy from the Sun that reaches the Earth arrives as solar radiation, part of a large collection of energy called the electromagnetic radiation spectrum. Solar radiation includes visible light, ultraviolet light, infrared, radio waves, X-rays, and gamma rays. Radiation is one way to transfer heatAll of the energy from the Sun that reaches the Earth arrives as solar radiation, part of a large collection of energy called the electromagnetic radiation spectrum. Solar radiation includes visible light, ultraviolet light, infrared, radio waves, X-rays, and gamma rays. Radiation is one way to transfer heat

Explanation:

All of the energy from the Sun that reaches the Earth arrives as solar radiation, part of a large collection of energy called the electromagnetic radiation spectrum. Solar radiation includes visible light, ultraviolet light, infrared, radio waves, X-rays, and gamma rays. Radiation is one way to transfer heathhghAll of the energy from the Sun that reaches the Earth arrives as solar radiation, part of a large collection of energy called the electromagnetic radiation spectrum. Solar radiation includes visible light, ultraviolet light, infrared, radio waves, X-rays, and gamma rays. Radiation is one way to transfer heat

Answer 2

Given :-

• $\sf Compound \: Interest(C.I) = 246 \: rupees$

• $\sf Time(t) = 2 \: years$

• $\sf Rate\% = 5\%$

To Find :-

• $\sf Simple \: Interest(S.I) = ?$

Solution :-

$\small\underline{\pmb{\sf \:According \: to \: the \: question :-}}$

$\qquad\leadsto\quad \sf \green{C.I= A - p }$

$\qquad\leadsto\quad \sf 246 = A - p$

$\qquad\leadsto\quad\sf A = 246 + p$

$\qquad\leadsto\quad\sf A= p(1 + \frac{r}{100} )^{t}$

$\qquad\leadsto\quad\sf 246 + p = p \times (1 + \frac{5}{100} )^{2}$

$\qquad\leadsto\quad\sf 246 + p = p \times (1 + 0.05)^{2}$

$\qquad\leadsto\quad\sf \sf 246 + p = p \times 1.1025$

$\qquad\leadsto\quad\sf\sf 246 = 1.1025p - p$

$\qquad\leadsto\quad\sf 246 = 0.1025p$

$\qquad\leadsto\quad\sf p = \frac{246}{0.1025}$

$\green{ \qquad\leadsto\quad \sf p = 2400 \: rupees}$

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$\qquad$ ☀️$\sf Principal = 2400 \: rupees$

$\qquad$ ☀️$\sf Rate\% = 6\%$

$\qquad$ ☀️$\sf Time = 3 \: years$

$\small\underline{\pmb{\sf \:Putting \: the \: values :-}}$

$\qquad\leadsto\quad\sf \pink{S.I= \frac{p \times r \times t}{100}}$

$\qquad\leadsto\quad\sf S.I= \frac{2400 \times 6 \times 3}{100}$

$\qquad\leadsto\quad\sf S.I = 24 \times 6 \times 3$

$\qquad\leadsto\quad\sf \pink{\sf S.I = 432 \: rupees}$

$\therefore\:\underline{\textsf{Simple interest is \textbf{ 432 \: rupees}}}.$